%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU043+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:30 AM UTC 2026 % Result : Theorem 206.96s 207.35s % Output : Proof 206.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU043+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:24:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 206.96/207.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.96/207.35 --- Run --no-e-matching --full-saturate-quant at 6... % 206.96/207.35 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.96/207.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.96/207.35 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.96/207.35 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.96/207.35 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.96/207.35 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.96/207.35 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.96/207.35 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.96/207.35 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.96/207.35 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.96/207.35 % SZS status Theorem % 206.96/207.35 % SZS output start Proof % 206.96/207.35 ( % 206.96/207.35 (declare-sort $$unsorted 0) % 206.96/207.35 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.function (-> $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.empty (-> $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.relation (-> $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 206.96/207.35 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.empty_set $$unsorted) % 206.96/207.35 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 206.96/207.35 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 206.96/207.35 (define @t1 () (@var "A" $$unsorted)) % 206.96/207.35 (define @t2 () (@var "B" $$unsorted)) % 206.96/207.35 (define @t3 () (tptp.in @t1 @t2)) % 206.96/207.35 (define @t4 () (@list @t1 @t2)) % 206.96/207.35 (define @t5 () (tptp.function @t1)) % 206.96/207.35 (define @t6 () (tptp.empty @t1)) % 206.96/207.35 (define @t7 () (@list @t1)) % 206.96/207.35 (define @t8 () (tptp.relation @t1)) % 206.96/207.35 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 206.96/207.35 (define @t10 () (and @t8 @t6 @t5)) % 206.96/207.35 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 206.96/207.35 (define @t12 () (@var "E" $$unsorted)) % 206.96/207.35 (define @t13 () (@var "D" $$unsorted)) % 206.96/207.35 (define @t14 () (tptp.ordered_pair @t13 @t12)) % 206.96/207.35 (define @t15 () (and (tptp.in @t12 @t1) (tptp.in @t14 @t2))) % 206.96/207.35 (define @t16 () (@var "C" $$unsorted)) % 206.96/207.35 (define @t17 () (@list @t13 @t12)) % 206.96/207.35 (define @t18 () (tptp.relation_rng_restriction @t1 @t2)) % 206.96/207.35 (define @t19 () (= (= @t16 @t18) (forall @t17 (= (tptp.in @t14 @t16) @t15)))) % 206.96/207.35 (define @t20 () (tptp.relation @t16)) % 206.96/207.35 (define @t21 () (@list @t16)) % 206.96/207.35 (define @t22 () (forall @t21 (=> @t20 @t19))) % 206.96/207.35 (define @t23 () (tptp.relation @t2)) % 206.96/207.35 (define @t24 () (=> @t23 @t22)) % 206.96/207.35 (define @t25 () (forall @t4 @t24)) % 206.96/207.35 (define @t26 () (= @t16 (tptp.apply @t1 @t2))) % 206.96/207.35 (define @t27 () (tptp.relation_dom @t1)) % 206.96/207.35 (define @t28 () (tptp.in @t2 @t27)) % 206.96/207.35 (define @t29 () (and @t8 @t5)) % 206.96/207.35 (define @t30 () (@list @t13)) % 206.96/207.35 (define @t31 () (@list @t2)) % 206.96/207.35 (define @t32 () (tptp.singleton @t1)) % 206.96/207.35 (define @t33 () (tptp.ordered_pair @t1 @t2)) % 206.96/207.35 (define @t34 () (tptp.relation @t18)) % 206.96/207.35 (define @t35 () (tptp.relation tptp.empty_set)) % 206.96/207.35 (define @t36 () (tptp.empty tptp.empty_set)) % 206.96/207.35 (define @t37 () (tptp.powerset @t1)) % 206.96/207.35 (define @t38 () (tptp.function @t2)) % 206.96/207.35 (define @t39 () (and @t23 @t38)) % 206.96/207.35 (define @t40 () (tptp.empty @t27)) % 206.96/207.35 (define @t41 () (not @t6)) % 206.96/207.35 (define @t42 () (and @t41 @t8)) % 206.96/207.35 (define @t43 () (tptp.empty @t2)) % 206.96/207.35 (define @t44 () (tptp.element @t2 @t37)) % 206.96/207.35 (define @t45 () (tptp.element @t1 @t2)) % 206.96/207.35 (define @t46 () (tptp.element @t2 (tptp.powerset @t16))) % 206.96/207.35 (define @t47 () (@list @t1 @t2 @t16)) % 206.96/207.35 (define @t48 () (tptp.apply @t16 @t13)) % 206.96/207.35 (define @t49 () (tptp.apply @t2 @t13)) % 206.96/207.35 (define @t50 () (tptp.in @t13 (tptp.relation_dom @t2))) % 206.96/207.35 (define @t51 () (=> @t50 (= @t49 @t48))) % 206.96/207.35 (define @t52 () (forall @t30 @t51)) % 206.96/207.35 (define @t53 () (tptp.relation_dom @t16)) % 206.96/207.35 (define @t54 () (forall @t30 (= @t50 (and (tptp.in @t13 @t53) (tptp.in @t48 @t1))))) % 206.96/207.35 (define @t55 () (and @t54 @t52)) % 206.96/207.35 (define @t56 () (= @t2 (tptp.relation_rng_restriction @t1 @t16))) % 206.96/207.35 (define @t57 () (= @t56 @t55)) % 206.96/207.35 (define @t58 () (tptp.function @t16)) % 206.96/207.35 (define @t59 () (and @t20 @t58)) % 206.96/207.35 (define @t60 () (=> @t59 @t57)) % 206.96/207.35 (define @t61 () (forall @t21 @t60)) % 206.96/207.35 (define @t62 () (=> @t39 @t61)) % 206.96/207.35 (define @t63 () (forall @t4 @t62)) % 206.96/207.35 (define @t64 () (not @t63)) % 206.96/207.35 (define @t65 () (= (tptp.in @t33 @t16) (and (tptp.in @t1 @t53) (= @t2 (tptp.apply @t16 @t1))))) % 206.96/207.35 (define @t66 () (forall @t47 (=> @t59 @t65))) % 206.96/207.35 (define @t67 () (not @t58)) % 206.96/207.35 (define @t68 () (not @t20)) % 206.96/207.35 (define @t69 () (or @t68 @t67 @t65)) % 206.96/207.35 (define @t70 () (or @t68 @t67)) % 206.96/207.35 (define @t71 () (not @t59)) % 206.96/207.35 (define @t72 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 206.96/207.35 (define @t73 () (tptp.apply @t72 @t13)) % 206.96/207.35 (define @t74 () (not @t50)) % 206.96/207.35 (define @t75 () (forall @t30 (= @t50 (and (tptp.in @t13 (tptp.relation_dom @t72)) (tptp.in @t73 @t1))))) % 206.96/207.35 (define @t76 () (= @t2 (tptp.relation_rng_restriction @t1 @t72))) % 206.96/207.35 (define @t77 () (not (tptp.function @t72))) % 206.96/207.35 (define @t78 () (not (tptp.relation @t72))) % 206.96/207.35 (define @t79 () (not @t38)) % 206.96/207.35 (define @t80 () (not @t23)) % 206.96/207.35 (define @t81 () (@list @t1 @t2 @t72)) % 206.96/207.35 (define @t82 () (forall @t81 (or @t80 @t79 @t78 @t77 (= @t76 (and @t75 (forall @t30 (or @t74 (= @t49 @t73)))))))) % 206.96/207.35 (define @t83 () (@quantifiers_skolemize @t82 2)) % 206.96/207.35 (define @t84 () (@quantifiers_skolemize @t82 1)) % 206.96/207.35 (define @t85 () (@quantifiers_skolemize @t82 0)) % 206.96/207.35 (define @t86 () (forall @t17 (= (and (tptp.in @t12 @t85) (tptp.in @t14 @t83)) (tptp.in @t14 @t84)))) % 206.96/207.35 (define @t87 () (@quantifiers_skolemize @t86 1)) % 206.96/207.35 (define @t88 () (@quantifiers_skolemize @t86 0)) % 206.96/207.35 (define @t89 () (or @t74 (= @t73 @t49))) % 206.96/207.35 (define @t90 () (forall @t30 @t89)) % 206.96/207.35 (define @t91 () (and @t75 @t90)) % 206.96/207.35 (define @t92 () (= @t76 @t91)) % 206.96/207.35 (define @t93 () (or @t80 @t79 @t78 @t77 @t92)) % 206.96/207.35 (define @t94 () (or @t78 @t77 @t92)) % 206.96/207.35 (define @t95 () (or @t80 @t79 @t94)) % 206.96/207.35 (define @t96 () (forall @t81 @t95)) % 206.96/207.35 (define @t97 () (@list @t72)) % 206.96/207.35 (define @t98 () (forall @t97 @t95)) % 206.96/207.35 (define @t99 () (forall @t97 @t94)) % 206.96/207.35 (define @t100 () (@list @t16)) % 206.96/207.35 (define @t101 () (or @t80 @t79 @t99)) % 206.96/207.35 (define @t102 () (= @t48 @t49)) % 206.96/207.35 (define @t103 () (= @t56 (and @t54 (forall @t30 (or @t74 @t102))))) % 206.96/207.35 (define @t104 () (or @t68 @t67 @t103)) % 206.96/207.35 (define @t105 () (forall @t21 @t104)) % 206.96/207.35 (define @t106 () (or @t80 @t79 @t105)) % 206.96/207.35 (define @t107 () (tptp.apply @t84 @t13)) % 206.96/207.35 (define @t108 () (tptp.apply @t83 @t13)) % 206.96/207.35 (define @t109 () (tptp.relation_dom @t84)) % 206.96/207.35 (define @t110 () (tptp.in @t13 @t109)) % 206.96/207.35 (define @t111 () (not @t110)) % 206.96/207.35 (define @t112 () (forall @t30 (or @t111 (= @t108 @t107)))) % 206.96/207.35 (define @t113 () (tptp.relation_dom @t83)) % 206.96/207.35 (define @t114 () (forall @t30 (= @t110 (and (tptp.in @t13 @t113) (tptp.in @t108 @t85))))) % 206.96/207.35 (define @t115 () (and @t114 @t112)) % 206.96/207.35 (define @t116 () (tptp.relation_rng_restriction @t85 @t83)) % 206.96/207.35 (define @t117 () (= @t84 @t116)) % 206.96/207.35 (define @t118 () (= @t117 @t115)) % 206.96/207.35 (define @t119 () (tptp.function @t83)) % 206.96/207.35 (define @t120 () (not @t119)) % 206.96/207.35 (define @t121 () (tptp.relation @t83)) % 206.96/207.35 (define @t122 () (not @t121)) % 206.96/207.35 (define @t123 () (tptp.function @t84)) % 206.96/207.35 (define @t124 () (not @t123)) % 206.96/207.35 (define @t125 () (tptp.relation @t84)) % 206.96/207.35 (define @t126 () (not @t125)) % 206.96/207.35 (define @t127 () (or @t126 @t124 @t122 @t120 @t118)) % 206.96/207.35 (define @t128 () (not @t127)) % 206.96/207.35 (define @t129 () (not @t82)) % 206.96/207.35 (define @t130 () (or @t111 (= @t107 @t108))) % 206.96/207.35 (define @t131 () (forall @t30 @t130)) % 206.96/207.35 (define @t132 () (and @t114 @t131)) % 206.96/207.35 (define @t133 () (= @t117 @t132)) % 206.96/207.35 (define @t134 () (or @t126 @t124 @t122 @t120 @t133)) % 206.96/207.35 (define @t135 () (not @t134)) % 206.96/207.35 (define @t136 () (@list true)) % 206.96/207.35 (define @t137 () (@list @t127)) % 206.96/207.35 (define @t138 () (tptp.apply @t83 @t88)) % 206.96/207.35 (define @t139 () (= @t87 @t138)) % 206.96/207.35 (define @t140 () (tptp.in @t88 @t113)) % 206.96/207.35 (define @t141 () (and @t140 @t139)) % 206.96/207.35 (define @t142 () (tptp.ordered_pair @t88 @t87)) % 206.96/207.35 (define @t143 () (tptp.in @t142 @t83)) % 206.96/207.35 (define @t144 () (= @t143 @t141)) % 206.96/207.35 (define @t145 () (or @t122 @t120 @t144)) % 206.96/207.35 (define @t146 () (@list false false false)) % 206.96/207.35 (define @t147 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 206.96/207.35 (define @t148 () (tptp.in @t14 @t147)) % 206.96/207.35 (define @t149 () (forall @t17 (= @t148 @t15))) % 206.96/207.35 (define @t150 () (= (= @t147 @t18) @t149)) % 206.96/207.35 (define @t151 () (not (tptp.relation @t147))) % 206.96/207.35 (define @t152 () (or @t80 @t151 @t150)) % 206.96/207.35 (define @t153 () (or @t151 @t150)) % 206.96/207.35 (define @t154 () (or @t80 @t153)) % 206.96/207.35 (define @t155 () (@list @t1 @t2 @t147)) % 206.96/207.35 (define @t156 () (forall @t155 @t154)) % 206.96/207.35 (define @t157 () (@list @t147)) % 206.96/207.35 (define @t158 () (forall @t157 @t154)) % 206.96/207.35 (define @t159 () (forall @t157 @t153)) % 206.96/207.35 (define @t160 () (or @t80 @t159)) % 206.96/207.35 (define @t161 () (forall @t21 (or @t68 @t19))) % 206.96/207.35 (define @t162 () (= (= @t116 @t84) @t86)) % 206.96/207.35 (define @t163 () (or @t122 @t126 @t162)) % 206.96/207.35 (define @t164 () (forall @t155 (or @t80 @t151 (= (= @t18 @t147) (forall @t17 (= @t15 @t148)))))) % 206.96/207.35 (define @t165 () (= @t117 @t86)) % 206.96/207.35 (define @t166 () (or @t122 @t126 @t165)) % 206.96/207.35 (define @t167 () (@list false)) % 206.96/207.35 (define @t168 () (not @t165)) % 206.96/207.35 (define @t169 () (not @t117)) % 206.96/207.35 (define @t170 () (@quantifiers_skolemize @t112 0)) % 206.96/207.35 (define @t171 () (tptp.apply @t84 @t170)) % 206.96/207.35 (define @t172 () (tptp.ordered_pair @t170 @t171)) % 206.96/207.35 (define @t173 () (tptp.in @t172 @t83)) % 206.96/207.35 (define @t174 () (and (tptp.in @t171 @t85) @t173)) % 206.96/207.35 (define @t175 () (tptp.in @t172 @t84)) % 206.96/207.35 (define @t176 () (= @t174 @t175)) % 206.96/207.35 (define @t177 () (@quantifiers_skolemize @t114 0)) % 206.96/207.35 (define @t178 () (tptp.apply @t83 @t177)) % 206.96/207.35 (define @t179 () (tptp.ordered_pair @t177 @t178)) % 206.96/207.35 (define @t180 () (tptp.in @t179 @t84)) % 206.96/207.35 (define @t181 () (tptp.in @t179 @t83)) % 206.96/207.35 (define @t182 () (tptp.in @t178 @t85)) % 206.96/207.35 (define @t183 () (and @t182 @t181)) % 206.96/207.35 (define @t184 () (= @t183 @t180)) % 206.96/207.35 (define @t185 () (tptp.in @t170 @t109)) % 206.96/207.35 (define @t186 () (tptp.apply @t83 @t170)) % 206.96/207.35 (define @t187 () (= @t186 @t171)) % 206.96/207.35 (define @t188 () (not @t185)) % 206.96/207.35 (define @t189 () (or @t188 @t187)) % 206.96/207.35 (define @t190 () (and @t185 (= @t171 @t171))) % 206.96/207.35 (define @t191 () (= @t175 @t190)) % 206.96/207.35 (define @t192 () (or @t126 @t124 @t191)) % 206.96/207.35 (define @t193 () (forall @t47 @t69)) % 206.96/207.35 (define @t194 () (= @t185 @t175)) % 206.96/207.35 (define @t195 () (or @t126 @t124 @t194)) % 206.96/207.35 (define @t196 () (@list @t193)) % 206.96/207.35 (define @t197 () (tptp.in @t170 @t113)) % 206.96/207.35 (define @t198 () (and @t197 @t187)) % 206.96/207.35 (define @t199 () (= @t175 @t174)) % 206.96/207.35 (define @t200 () (not @t199)) % 206.96/207.35 (define @t201 () (and @t197 (= @t171 @t186))) % 206.96/207.35 (define @t202 () (= @t173 @t201)) % 206.96/207.35 (define @t203 () (or @t122 @t120 @t202)) % 206.96/207.35 (define @t204 () (= @t173 @t198)) % 206.96/207.35 (define @t205 () (or @t122 @t120 @t204)) % 206.96/207.35 (define @t206 () (not @t189)) % 206.96/207.35 (define @t207 () (not @t112)) % 206.96/207.35 (define @t208 () (= @t178 (tptp.apply @t84 @t177))) % 206.96/207.35 (define @t209 () (tptp.in @t177 @t109)) % 206.96/207.35 (define @t210 () (not @t209)) % 206.96/207.35 (define @t211 () (or @t210 @t208)) % 206.96/207.35 (define @t212 () (tptp.in @t177 @t113)) % 206.96/207.35 (define @t213 () (and @t212 @t182)) % 206.96/207.35 (define @t214 () (= @t209 @t213)) % 206.96/207.35 (define @t215 () (not @t214)) % 206.96/207.35 (define @t216 () (not @t114)) % 206.96/207.35 (define @t217 () (not @t211)) % 206.96/207.35 (define @t218 () (and @t209 @t208)) % 206.96/207.35 (define @t219 () (= @t180 @t218)) % 206.96/207.35 (define @t220 () (or @t126 @t124 @t219)) % 206.96/207.35 (define @t221 () (not @t219)) % 206.96/207.35 (define @t222 () (not @t218)) % 206.96/207.35 (define @t223 () (not @t184)) % 206.96/207.35 (define @t224 () (not @t180)) % 206.96/207.35 (define @t225 () (not @t183)) % 206.96/207.35 (define @t226 () (and @t212 (= @t178 @t178))) % 206.96/207.35 (define @t227 () (= @t181 @t226)) % 206.96/207.35 (define @t228 () (or @t122 @t120 @t227)) % 206.96/207.35 (define @t229 () (= @t212 @t181)) % 206.96/207.35 (define @t230 () (or @t122 @t120 @t229)) % 206.96/207.35 (define @t231 () (not @t229)) % 206.96/207.35 (define @t232 () (not @t181)) % 206.96/207.35 (define @t233 () (not @t213)) % 206.96/207.35 (define @t234 () (not @t115)) % 206.96/207.35 (define @t235 () (@list @t115)) % 206.96/207.35 (define @t236 () (tptp.apply @t84 @t88)) % 206.96/207.35 (define @t237 () (tptp.in @t88 @t109)) % 206.96/207.35 (define @t238 () (not @t237)) % 206.96/207.35 (define @t239 () (or @t238 (= @t138 @t236))) % 206.96/207.35 (define @t240 () (@list @t88)) % 206.96/207.35 (define @t241 () (= @t236 @t138)) % 206.96/207.35 (define @t242 () (or @t238 @t241)) % 206.96/207.35 (define @t243 () (= @t87 @t236)) % 206.96/207.35 (define @t244 () (and @t237 @t243)) % 206.96/207.35 (define @t245 () (tptp.in @t142 @t84)) % 206.96/207.35 (define @t246 () (= @t245 @t244)) % 206.96/207.35 (define @t247 () (or @t126 @t124 @t246)) % 206.96/207.35 (define @t248 () (not @t86)) % 206.96/207.35 (define @t249 () (@list true false)) % 206.96/207.35 (define @t250 () (tptp.in @t87 @t85)) % 206.96/207.35 (define @t251 () (and @t250 @t143)) % 206.96/207.35 (define @t252 () (= @t251 @t245)) % 206.96/207.35 (define @t253 () (not @t252)) % 206.96/207.35 (define @t254 () (not @t246)) % 206.96/207.35 (define @t255 () (not @t244)) % 206.96/207.35 (define @t256 () (not @t251)) % 206.96/207.35 (define @t257 () (not @t144)) % 206.96/207.35 (define @t258 () (not @t143)) % 206.96/207.35 (define @t259 () (not @t141)) % 206.96/207.35 (define @t260 () (tptp.in @t138 @t85)) % 206.96/207.35 (define @t261 () (and @t250 @t139)) % 206.96/207.35 (define @t262 () (not @t139)) % 206.96/207.35 (define @t263 () (and @t140 @t260)) % 206.96/207.35 (define @t264 () (= @t237 @t263)) % 206.96/207.35 (define @t265 () (not @t264)) % 206.96/207.35 (define @t266 () (not @t263)) % 206.96/207.35 (define @t267 () (and @t241 @t139)) % 206.96/207.35 (define @t268 () (not @t241)) % 206.96/207.35 (define @t269 () (@list false false)) % 206.96/207.35 (define @t270 () (@list @t244)) % 206.96/207.35 (define @t271 () (and @t243 @t241)) % 206.96/207.35 (define @t272 () (@list @t263)) % 206.96/207.35 (define @t273 () (and @t243 @t241 @t260)) % 206.96/207.35 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 206.96/207.35 (assume @p2 (forall @t7 (=> @t6 @t5))) % 206.96/207.35 (assume @p3 (forall @t7 (=> @t6 @t8))) % 206.96/207.35 (assume @p4 (forall @t7 (=> @t10 @t9))) % 206.96/207.35 (assume @p5 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 206.96/207.35 (assume @p6 @t25) % 206.96/207.35 (assume @p7 (forall @t7 (=> @t29 (forall (@list @t2 @t16) (and (=> @t28 (= @t26 (tptp.in (tptp.ordered_pair @t2 @t16) @t1))) (=> (not @t28) (= @t26 (= @t16 tptp.empty_set)))))))) % 206.96/207.35 (assume @p8 (forall @t7 (=> @t8 (forall @t31 (= (= @t2 @t27) (forall @t21 (= (tptp.in @t16 @t2) (exists @t30 (tptp.in (tptp.ordered_pair @t16 @t13) @t1))))))))) % 206.96/207.35 (assume @p9 (forall @t4 (= @t33 (tptp.unordered_pair @t11 @t32)))) % 206.96/207.35 (assume @p10 (forall @t4 (=> @t23 @t34))) % 206.96/207.35 (assume @p11 (forall @t7 (exists @t31 (tptp.element @t2 @t1)))) % 206.96/207.35 (assume @p12 (and @t36 @t35 (tptp.relation_empty_yielding tptp.empty_set))) % 206.96/207.35 (assume @p13 (forall @t7 (not (tptp.empty @t37)))) % 206.96/207.35 (assume @p14 @t36) % 206.96/207.35 (assume @p15 (forall @t4 (not (tptp.empty @t33)))) % 206.96/207.35 (assume @p16 (forall @t7 (not (tptp.empty @t32)))) % 206.96/207.35 (assume @p17 (forall @t4 (not (tptp.empty @t11)))) % 206.96/207.35 (assume @p18 (and @t36 @t35)) % 206.96/207.35 (assume @p19 (forall @t4 (=> @t39 (and @t34 (tptp.function @t18))))) % 206.96/207.35 (assume @p20 (forall @t7 (=> @t42 (not @t40)))) % 206.96/207.35 (assume @p21 (forall @t7 (=> @t6 (and @t40 (tptp.relation @t27))))) % 206.96/207.35 (assume @p22 (exists @t7 @t29)) % 206.96/207.35 (assume @p23 (exists @t7 (and @t6 @t8))) % 206.96/207.35 (assume @p24 (forall @t7 (=> @t41 (exists @t31 (and @t44 (not @t43)))))) % 206.96/207.35 (assume @p25 (exists @t7 @t6)) % 206.96/207.35 (assume @p26 (exists @t7 @t10)) % 206.96/207.35 (assume @p27 (exists @t7 @t42)) % 206.96/207.35 (assume @p28 (forall @t7 (exists @t31 (and @t44 @t43)))) % 206.96/207.35 (assume @p29 (exists @t7 @t41)) % 206.96/207.35 (assume @p30 (exists @t7 @t9)) % 206.96/207.35 (assume @p31 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 206.96/207.35 (assume @p32 (forall @t4 (tptp.subset @t1 @t1))) % 206.96/207.35 (assume @p33 (forall @t4 (=> @t3 @t45))) % 206.96/207.35 (assume @p34 (forall @t4 (=> @t45 (or @t43 @t3)))) % 206.96/207.35 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 206.96/207.35 (assume @p36 (forall @t47 (=> (and @t3 @t46) (tptp.element @t1 @t16)))) % 206.96/207.35 (assume @p37 (forall @t47 (not (and @t3 @t46 (tptp.empty @t16))))) % 206.96/207.35 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 206.96/207.35 (assume @p39 (forall @t4 (not (and @t3 @t43)))) % 206.96/207.35 (assume @p40 @t64) % 206.96/207.35 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t43)))) % 206.96/207.35 (assume @p42 @t66) % 206.96/207.35 (assume @p43 true) % 206.96/207.35 (step @p44 :rule aci_norm :args ((= (or @t70 @t65) @t69))) % 206.96/207.35 (step @p45 :rule refl :args (@t65)) % 206.96/207.35 (step @p46 :rule bool-and-de-morgan :args (@t20 @t58 true)) % 206.96/207.35 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t71 @t65))) % 206.96/207.35 (step @p48 :rule trans :premises (@p47 @p44)) % 206.96/207.35 (step @p49 :rule bool-impl-elim :args (@t59 @t65)) % 206.96/207.35 (step @p50 :rule trans :premises (@p49 @p48)) % 206.96/207.35 (step @p51 :rule cong :premises (@p50) :args (@t66)) % 206.96/207.35 (step @p52 :rule eq_resolve :premises (@p42 @p51)) % 206.96/207.35 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t88 @t87 @t83))) % 206.96/207.35 (step @p54 :rule eq-symm :args (@t73 @t49)) % 206.96/207.35 (step @p55 :rule refl :args (@t74)) % 206.96/207.35 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t89)) % 206.96/207.35 (step @p57 :rule cong :premises (@p56) :args (@t90)) % 206.96/207.35 (step @p58 :rule refl :args (@t75)) % 206.96/207.35 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t91)) % 206.96/207.35 (step @p60 :rule refl :args (@t76)) % 206.96/207.35 (step @p61 :rule cong :premises (@p60 @p59) :args (@t92)) % 206.96/207.35 (step @p62 :rule refl :args (@t77)) % 206.96/207.35 (step @p63 :rule refl :args (@t78)) % 206.96/207.35 (step @p64 :rule refl :args (@t79)) % 206.96/207.35 (step @p65 :rule refl :args (@t80)) % 206.96/207.35 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62 @p61) :args (@t93)) % 206.96/207.35 (step @p67 :rule aci_norm :args ((= @t95 @t93))) % 206.96/207.35 (step @p68 :rule trans :premises (@p67 @p66)) % 206.96/207.35 (step @p69 :rule cong :premises (@p68) :args (@t96)) % 206.96/207.35 (step @p70 :rule quant-merge-prenex :args ((= (forall @t4 @t98) @t96))) % 206.96/207.35 (step @p71 :rule alpha_equiv :args (@t99 (@list @t72) @t100)) % 206.96/207.35 (step @p72 :rule refl :args (@t79)) % 206.96/207.35 (step @p73 :rule refl :args (@t80)) % 206.96/207.35 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args (@t101)) % 206.96/207.35 (step @p75 :rule quant-miniscope-or :args ((= @t98 @t101))) % 206.96/207.35 (step @p76 :rule trans :premises (@p75 @p74)) % 206.96/207.35 (step @p77 :rule symm :premises (@p76)) % 206.96/207.35 (step @p78 :rule cong :premises (@p77) :args ((forall @t4 @t106))) % 206.96/207.35 (step @p79 :rule trans :premises (@p78 @p70)) % 206.96/207.35 (step @p80 :rule trans :premises (@p79 @p69)) % 206.96/207.35 (step @p81 :rule aci_norm :args ((= (or (or @t80 @t79) @t105) @t106))) % 206.96/207.35 (step @p82 :rule refl :args (@t105)) % 206.96/207.35 (step @p83 :rule bool-and-de-morgan :args (@t23 @t38 true)) % 206.96/207.35 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t39) @t105))) % 206.96/207.35 (step @p85 :rule trans :premises (@p84 @p81)) % 206.96/207.35 (step @p86 :rule bool-impl-elim :args (@t39 @t105)) % 206.96/207.35 (step @p87 :rule trans :premises (@p86 @p85)) % 206.96/207.35 (step @p88 :rule cong :premises (@p87) :args ((forall @t4 (=> @t39 @t105)))) % 206.96/207.35 (step @p89 :rule trans :premises (@p88 @p80)) % 206.96/207.35 (step @p90 :rule aci_norm :args ((= (or @t70 @t103) @t104))) % 206.96/207.35 (step @p91 :rule refl :args (@t103)) % 206.96/207.35 (step @p92 :rule nary_cong :premises (@p46 @p91) :args ((or @t71 @t103))) % 206.96/207.35 (step @p93 :rule trans :premises (@p92 @p90)) % 206.96/207.35 (step @p94 :rule bool-impl-elim :args (@t59 @t103)) % 206.96/207.35 (step @p95 :rule trans :premises (@p94 @p93)) % 206.96/207.35 (step @p96 :rule cong :premises (@p95) :args ((forall @t21 (=> @t59 @t103)))) % 206.96/207.35 (step @p97 :rule bool-impl-elim :args (@t50 @t102)) % 206.96/207.35 (step @p98 :rule cong :premises (@p97) :args ((forall @t30 (=> @t50 @t102)))) % 206.96/207.35 (step @p99 :rule eq-symm :args (@t49 @t48)) % 206.96/207.35 (step @p100 :rule refl :args (@t50)) % 206.96/207.35 (step @p101 :rule cong :premises (@p100 @p99) :args (@t51)) % 206.96/207.35 (step @p102 :rule cong :premises (@p101) :args (@t52)) % 206.96/207.35 (step @p103 :rule trans :premises (@p102 @p98)) % 206.96/207.35 (step @p104 :rule refl :args (@t54)) % 206.96/207.35 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t55)) % 206.96/207.35 (step @p106 :rule refl :args (@t56)) % 206.96/207.35 (step @p107 :rule cong :premises (@p106 @p105) :args (@t57)) % 206.96/207.35 (step @p108 :rule refl :args (@t59)) % 206.96/207.35 (step @p109 :rule cong :premises (@p108 @p107) :args (@t60)) % 206.96/207.35 (step @p110 :rule cong :premises (@p109) :args (@t61)) % 206.96/207.35 (step @p111 :rule trans :premises (@p110 @p96)) % 206.96/207.35 (step @p112 :rule refl :args (@t39)) % 206.96/207.35 (step @p113 :rule cong :premises (@p112 @p111) :args (@t62)) % 206.96/207.35 (step @p114 :rule cong :premises (@p113) :args (@t63)) % 206.96/207.35 (step @p115 :rule trans :premises (@p114 @p89)) % 206.96/207.35 (step @p116 :rule cong :premises (@p115) :args (@t64)) % 206.96/207.35 (step @p117 :rule eq_resolve :premises (@p40 @p116)) % 206.96/207.35 (step @p118 :rule refl :args (@t128)) % 206.96/207.35 (step @p119 :rule bool-double-not-elim :args (@t82)) % 206.96/207.35 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t129) @t128))) % 206.96/207.35 (step @p121 :rule eq-symm :args (@t107 @t108)) % 206.96/207.35 (step @p122 :rule refl :args (@t111)) % 206.96/207.35 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t130)) % 206.96/207.35 (step @p124 :rule cong :premises (@p123) :args (@t131)) % 206.96/207.35 (step @p125 :rule refl :args (@t114)) % 206.96/207.35 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t132)) % 206.96/207.35 (step @p127 :rule refl :args (@t117)) % 206.96/207.35 (step @p128 :rule cong :premises (@p127 @p126) :args (@t133)) % 206.96/207.35 (step @p129 :rule refl :args (@t120)) % 206.96/207.35 (step @p130 :rule refl :args (@t122)) % 206.96/207.35 (step @p131 :rule refl :args (@t124)) % 206.96/207.35 (step @p132 :rule refl :args (@t126)) % 206.96/207.35 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129 @p128) :args (@t134)) % 206.96/207.35 (step @p134 :rule cong :premises (@p133) :args (@t135)) % 206.96/207.35 (step @p135 :rule refl :args (@t129)) % 206.96/207.35 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t129 @t135))) % 206.96/207.35 (assume-push @p552 @t129) % 206.96/207.35 (step @p138 :rule skolemize :premises (@p117)) % 206.96/207.35 (step-pop @p553 :rule scope :premises (@p138)) % 206.96/207.35 (step @p139 :rule process_scope :premises (@p553) :args (@t135)) % 206.96/207.35 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 206.96/207.35 (step @p142 :rule implies_elim :premises (@p141)) % 206.96/207.35 (step @p143 :rule eq_resolve :premises (@p142 @p120)) % 206.96/207.35 (step @p144 :rule chain_m_resolution :premises (@p143 @p117) :args (@t128 @t136 (@list @t82))) % 206.96/207.35 (step @p145 :rule bool-double-not-elim :args (@t119)) % 206.96/207.35 (step @p146 :rule refl :args (@t127)) % 206.96/207.35 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t127 (not @t120)))) % 206.96/207.35 (step @p148 :rule cnf_or_neg :args (@t127 3)) % 206.96/207.35 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 206.96/207.35 (step @p150 :rule reordering :premises (@p149) :args ((or @t119 @t127))) % 206.96/207.35 (step @p151 :rule chain_m_resolution :premises (@p150 @p144) :args (@t119 @t136 @t137)) % 206.96/207.35 (step @p152 :rule bool-double-not-elim :args (@t121)) % 206.96/207.35 (step @p153 :rule nary_cong :premises (@p146 @p152) :args ((or @t127 (not @t122)))) % 206.96/207.35 (step @p154 :rule cnf_or_neg :args (@t127 2)) % 206.96/207.35 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 206.96/207.35 (step @p156 :rule reordering :premises (@p155) :args ((or @t121 @t127))) % 206.96/207.35 (step @p157 :rule chain_m_resolution :premises (@p156 @p144) :args (@t121 @t136 @t137)) % 206.96/207.35 (step @p158 :rule cnf_or_pos :args (@t145)) % 206.96/207.35 (step @p159 :rule reordering :premises (@p158) :args ((or @t122 @t120 @t144 (not @t145)))) % 206.96/207.35 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p151 @p53) :args (@t144 @t146 (@list @t121 @t119 @t145))) % 206.96/207.35 (step @p161 :rule cnf_or_neg :args (@t127 4)) % 206.96/207.35 (step @p162 :rule chain_m_resolution :premises (@p161 @p144) :args ((not @t118) @t136 @t137)) % 206.96/207.35 (step @p163 :rule cnf_equiv_neg2 :args (@t118)) % 206.96/207.35 (step @p164 :rule eq-symm :args (@t148 @t15)) % 206.96/207.35 (step @p165 :rule cong :premises (@p164) :args (@t149)) % 206.96/207.35 (step @p166 :rule eq-symm :args (@t147 @t18)) % 206.96/207.35 (step @p167 :rule cong :premises (@p166 @p165) :args (@t150)) % 206.96/207.35 (step @p168 :rule refl :args (@t151)) % 206.96/207.35 (step @p169 :rule nary_cong :premises (@p65 @p168 @p167) :args (@t152)) % 206.96/207.35 (step @p170 :rule aci_norm :args ((= @t154 @t152))) % 206.96/207.35 (step @p171 :rule trans :premises (@p170 @p169)) % 206.96/207.35 (step @p172 :rule cong :premises (@p171) :args (@t156)) % 206.96/207.35 (step @p173 :rule quant-merge-prenex :args ((= (forall @t4 @t158) @t156))) % 206.96/207.35 (step @p174 :rule alpha_equiv :args (@t159 (@list @t147) @t100)) % 206.96/207.35 (step @p175 :rule nary_cong :premises (@p73 @p174) :args (@t160)) % 206.96/207.35 (step @p176 :rule quant-miniscope-or :args ((= @t158 @t160))) % 206.96/207.35 (step @p177 :rule trans :premises (@p176 @p175)) % 206.96/207.35 (step @p178 :rule symm :premises (@p177)) % 206.96/207.35 (step @p179 :rule cong :premises (@p178) :args ((forall @t4 (or @t80 @t161)))) % 206.96/207.35 (step @p180 :rule trans :premises (@p179 @p173)) % 206.96/207.35 (step @p181 :rule trans :premises (@p180 @p172)) % 206.96/207.35 (step @p182 :rule bool-impl-elim :args (@t23 @t161)) % 206.96/207.35 (step @p183 :rule cong :premises (@p182) :args ((forall @t4 (=> @t23 @t161)))) % 206.96/207.35 (step @p184 :rule trans :premises (@p183 @p181)) % 206.96/207.35 (step @p185 :rule bool-impl-elim :args (@t20 @t19)) % 206.96/207.35 (step @p186 :rule cong :premises (@p185) :args (@t22)) % 206.96/207.35 (step @p187 :rule refl :args (@t23)) % 206.96/207.35 (step @p188 :rule cong :premises (@p187 @p186) :args (@t24)) % 206.96/207.35 (step @p189 :rule cong :premises (@p188) :args (@t25)) % 206.96/207.35 (step @p190 :rule trans :premises (@p189 @p184)) % 206.96/207.35 (step @p191 :rule eq_resolve :premises (@p6 @p190)) % 206.96/207.35 (step @p192 :rule refl :args (@t86)) % 206.96/207.35 (step @p193 :rule eq-symm :args (@t116 @t84)) % 206.96/207.35 (step @p194 :rule cong :premises (@p193 @p192) :args (@t162)) % 206.96/207.35 (step @p195 :rule nary_cong :premises (@p130 @p132 @p194) :args (@t163)) % 206.96/207.35 (step @p196 :rule refl :args (@t164)) % 206.96/207.35 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t164 @t163))) % 206.96/207.35 (assume-push @p554 @t164) % 206.96/207.35 (step @p199 :rule instantiate :premises (@p191) :args ((@list @t85 @t83 @t84))) % 206.96/207.35 (step-pop @p555 :rule scope :premises (@p199)) % 206.96/207.35 (step @p200 :rule process_scope :premises (@p555) :args (@t163)) % 206.96/207.35 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 206.96/207.35 (step @p203 :rule implies_elim :premises (@p202)) % 206.96/207.35 (step @p204 :rule chain_m_resolution :premises (@p203 @p191) :args (@t166 @t167 (@list @t164))) % 206.96/207.35 (step @p205 :rule bool-double-not-elim :args (@t125)) % 206.96/207.35 (step @p206 :rule nary_cong :premises (@p146 @p205) :args ((or @t127 (not @t126)))) % 206.96/207.35 (step @p207 :rule cnf_or_neg :args (@t127 0)) % 206.96/207.35 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 206.96/207.35 (step @p209 :rule reordering :premises (@p208) :args 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:rule cnf_or_pos :args (@t247)) % 206.96/207.36 (step @p395 :rule reordering :premises (@p394) :args ((or @t126 @t124 @t246 (not @t247)))) % 206.96/207.36 (step @p396 :rule chain_m_resolution :premises (@p395 @p210 @p260 @p393) :args (@t246 @t146 (@list @t125 @t123 @t247))) % 206.96/207.36 (step @p397 :rule cnf_equiv_pos2 :args (@t165)) % 206.96/207.36 (step @p398 :rule reordering :premises (@p397) :args ((or @t117 @t248 @t168))) % 206.96/207.36 (step @p399 :rule chain_m_resolution :premises (@p398 @p374 @p213) :args (@t248 @t249 (@list @t117 @t165))) % 206.96/207.36 (step @p400 :rule refl :args (@t253)) % 206.96/207.36 (step @p401 :rule bool-double-not-elim :args (@t86)) % 206.96/207.36 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t248) @t253))) % 206.96/207.36 (assume-push @p574 @t248) % 206.96/207.36 (step @p404 :rule skolemize :premises (@p574)) % 206.96/207.36 (step-pop @p575 :rule scope :premises (@p404)) % 206.96/207.36 (step @p405 :rule process_scope :premises (@p575) :args (@t253)) % 206.96/207.36 (step @p407 :rule implies_elim :premises (@p405)) % 206.96/207.36 (step @p408 :rule eq_resolve :premises (@p407 @p402)) % 206.96/207.36 (step @p409 :rule chain_m_resolution :premises (@p408 @p399) :args (@t253 @t136 (@list @t86))) % 206.96/207.36 (step @p410 :rule cnf_equiv_neg1 :args (@t252)) % 206.96/207.36 (step @p411 :rule reordering :premises (@p410) :args ((or @t251 @t245 @t252))) % 206.96/207.36 (step @p412 :rule cnf_equiv_pos2 :args (@t246)) % 206.96/207.36 (step @p413 :rule reordering :premises (@p412) :args ((or @t245 @t255 @t254))) % 206.96/207.36 (step @p414 :rule cnf_and_pos :args (@t251 0)) % 206.96/207.36 (step @p415 :rule reordering :premises (@p414) :args ((or @t250 @t256))) % 206.96/207.36 (step @p416 :rule cnf_and_pos :args (@t251 1)) % 206.96/207.36 (step @p417 :rule reordering :premises (@p416) :args ((or @t143 @t256))) % 206.96/207.36 (step @p418 :rule cnf_equiv_pos1 :args (@t144)) % 206.96/207.36 (step @p419 :rule reordering :premises (@p418) :args ((or @t258 @t141 @t257))) % 206.96/207.36 (step @p420 :rule cnf_and_pos :args (@t141 0)) % 206.96/207.36 (step @p421 :rule reordering :premises (@p420) :args ((or @t140 @t259))) % 206.96/207.36 (step @p422 :rule cnf_and_pos :args (@t141 1)) % 206.96/207.36 (step @p423 :rule reordering :premises (@p422) :args ((or @t139 @t259))) % 206.96/207.36 (assume-push @p576 @t250) % 206.96/207.36 (assume-push @p577 @t139) % 206.96/207.36 (assume-push @p578 @t250) % 206.96/207.36 (assume-push @p579 @t139) % 206.96/207.36 (step @p428 :rule true_intro :premises (@p576)) % 206.96/207.36 (step @p429 :rule refl :args (@t85)) % 206.96/207.36 (step @p430 :rule symm :premises (@p577)) % 206.96/207.36 (step @p431 :rule cong :premises (@p430 @p429) :args (@t260)) % 206.96/207.36 (step @p432 :rule trans :premises (@p431 @p428)) % 206.96/207.36 (step @p433 :rule true_elim :premises (@p432)) % 206.96/207.36 (step-pop @p580 :rule scope :premises (@p433)) % 206.96/207.36 (step-pop @p581 :rule scope :premises (@p580)) % 206.96/207.36 (step @p434 :rule process_scope :premises (@p581) :args (@t260)) % 206.96/207.36 (step @p437 :rule and_intro :premises (@p576 @p577)) % 206.96/207.36 (step @p438 :rule modus_ponens :premises (@p437 @p434)) % 206.96/207.36 (step-pop @p582 :rule scope :premises (@p438)) % 206.96/207.36 (step-pop @p583 :rule scope :premises (@p582)) % 206.96/207.36 (step @p439 :rule process_scope :premises (@p583) :args (@t260)) % 206.96/207.36 (step @p442 :rule implies_elim :premises (@p439)) % 206.96/207.36 (step @p443 :rule cnf_and_neg :args (@t261)) % 206.96/207.36 (step @p444 :rule resolution :premises (@p443 @p442) :args (true @t261)) % 206.96/207.36 (step @p445 :rule reordering :premises (@p444) :args ((or (not @t250) @t260 @t262))) % 206.96/207.36 (step @p446 :rule cnf_and_neg :args (@t263)) % 206.96/207.36 (step @p447 :rule cnf_and_pos :args (@t115 0)) % 206.96/207.36 (step @p448 :rule reordering :premises (@p447) :args ((or @t114 @t234))) % 206.96/207.36 (step @p449 :rule chain_m_resolution :premises (@p448 @p377) :args (@t114 @t167 @t235)) % 206.96/207.36 (assume-push @p584 @t114) % 206.96/207.36 (step @p451 :rule instantiate :premises (@p584) :args (@t240)) % 206.96/207.36 (step-pop @p585 :rule scope :premises (@p451)) % 206.96/207.36 (step @p452 :rule process_scope :premises (@p585) :args (@t264)) % 206.96/207.36 (step @p454 :rule implies_elim :premises (@p452)) % 206.96/207.36 (step @p455 :rule chain_m_resolution :premises (@p454 @p449) :args (@t264 @t167 (@list @t114))) % 206.96/207.36 (step @p456 :rule cnf_equiv_pos2 :args (@t264)) % 206.96/207.36 (step @p457 :rule reordering :premises (@p456) :args ((or @t237 @t266 @t265))) % 206.96/207.36 (step @p458 :rule cnf_or_pos :args (@t242)) % 206.96/207.36 (step @p459 :rule reordering :premises (@p458) :args ((or @t238 @t241 (not @t242)))) % 206.96/207.36 (step @p460 :rule cnf_and_neg :args (@t244)) % 206.96/207.36 (assume-push @p586 @t241) % 206.96/207.36 (assume-push @p587 @t139) % 206.96/207.36 (assume-push @p588 @t241) % 206.96/207.36 (assume-push @p589 @t139) % 206.96/207.36 (step @p465 :rule symm :premises (@p586)) % 206.96/207.36 (step @p466 :rule trans :premises (@p587 @p465)) % 206.96/207.36 (step-pop @p590 :rule scope :premises (@p466)) % 206.96/207.36 (step-pop @p591 :rule scope :premises (@p590)) % 206.96/207.36 (step @p467 :rule process_scope :premises (@p591) :args (@t243)) % 206.96/207.36 (step @p470 :rule and_intro :premises (@p586 @p587)) % 206.96/207.36 (step @p471 :rule modus_ponens :premises (@p470 @p467)) % 206.96/207.36 (step-pop @p592 :rule scope :premises (@p471)) % 206.96/207.36 (step-pop @p593 :rule scope :premises (@p592)) % 206.96/207.36 (step @p472 :rule process_scope :premises (@p593) :args (@t243)) % 206.96/207.36 (step @p475 :rule implies_elim :premises (@p472)) % 206.96/207.36 (step @p476 :rule cnf_and_neg :args (@t267)) % 206.96/207.36 (step @p477 :rule resolution :premises (@p476 @p475) :args (true @t267)) % 206.96/207.36 (step @p478 :rule reordering :premises (@p477) :args ((or @t243 @t268 @t262))) % 206.96/207.36 (step @p479 :rule chain_m_resolution :premises (@p478 @p460 @p459 @p392 @p457 @p455 @p446 @p445 @p423 @p421 @p419 @p160 @p417 @p415 @p413 @p396 @p411 @p409) :args (@t245 (@list true false false false false false false false false false false false false true false false true) (@list @t243 @t241 @t242 @t237 @t264 @t263 @t260 @t139 @t140 @t141 @t144 @t143 @t250 @t244 @t246 @t251 @t252))) % 206.96/207.36 (step @p480 :rule cnf_equiv_pos1 :args (@t246)) % 206.96/207.36 (step @p481 :rule reordering :premises (@p480) :args ((or (not @t245) @t244 @t254))) % 206.96/207.36 (step @p482 :rule chain_m_resolution :premises (@p481 @p479 @p396) :args (@t244 @t269 (@list @t245 @t246))) % 206.96/207.36 (step @p483 :rule cnf_and_pos :args (@t244 0)) % 206.96/207.36 (step @p484 :rule reordering :premises (@p483) :args ((or @t237 @t255))) % 206.96/207.36 (step @p485 :rule chain_m_resolution :premises (@p484 @p482) :args (@t237 @t167 @t270)) % 206.96/207.36 (step @p486 :rule chain_m_resolution :premises (@p459 @p485 @p392) :args (@t241 @t269 (@list @t237 @t242))) % 206.96/207.36 (step @p487 :rule cnf_and_pos :args (@t244 1)) % 206.96/207.36 (step @p488 :rule reordering :premises (@p487) :args ((or @t243 @t255))) % 206.96/207.36 (step @p489 :rule chain_m_resolution :premises (@p488 @p482) :args (@t243 @t167 @t270)) % 206.96/207.36 (assume-push @p594 @t243) % 206.96/207.36 (assume-push @p595 @t241) % 206.96/207.36 (assume-push @p596 @t241) % 206.96/207.36 (assume-push @p597 @t243) % 206.96/207.36 (step @p494 :rule trans :premises (@p594 @p595)) % 206.96/207.36 (step-pop @p598 :rule scope :premises (@p494)) % 206.96/207.36 (step-pop @p599 :rule scope :premises (@p598)) % 206.96/207.36 (step @p495 :rule process_scope :premises (@p599) :args (@t139)) % 206.96/207.36 (step @p498 :rule and_intro :premises (@p595 @p594)) % 206.96/207.36 (step @p499 :rule modus_ponens :premises (@p498 @p495)) % 206.96/207.36 (step-pop @p600 :rule scope :premises (@p499)) % 206.96/207.36 (step-pop @p601 :rule scope :premises (@p600)) % 206.96/207.36 (step @p500 :rule process_scope :premises (@p601) :args (@t139)) % 206.96/207.36 (step @p503 :rule implies_elim :premises (@p500)) % 206.96/207.36 (step @p504 :rule cnf_and_neg :args (@t271)) % 206.96/207.36 (step @p505 :rule resolution :premises (@p504 @p503) :args (true @t271)) % 206.96/207.36 (step @p506 :rule chain_m_resolution :premises (@p505 @p489 @p486) :args (@t139 @t269 (@list @t243 @t241))) % 206.96/207.36 (step @p507 :rule cnf_equiv_pos1 :args (@t264)) % 206.96/207.36 (step @p508 :rule reordering :premises (@p507) :args ((or @t238 @t263 @t265))) % 206.96/207.36 (step @p509 :rule chain_m_resolution :premises (@p508 @p485 @p455) :args (@t263 @t269 (@list @t237 @t264))) % 206.96/207.36 (step @p510 :rule cnf_and_pos :args (@t263 0)) % 206.96/207.36 (step @p511 :rule reordering :premises (@p510) :args ((or @t140 @t266))) % 206.96/207.36 (step @p512 :rule chain_m_resolution :premises (@p511 @p509) :args (@t140 @t167 @t272)) % 206.96/207.36 (step @p513 :rule cnf_and_neg :args (@t141)) % 206.96/207.36 (step @p514 :rule reordering :premises (@p513) :args ((or (not @t140) @t141 @t262))) % 206.96/207.36 (step @p515 :rule chain_m_resolution :premises (@p514 @p512 @p506) :args (@t141 @t269 (@list @t140 @t139))) % 206.96/207.36 (step @p516 :rule cnf_and_pos :args (@t263 1)) % 206.96/207.36 (step @p517 :rule reordering :premises (@p516) :args ((or @t260 @t266))) % 206.96/207.36 (step @p518 :rule chain_m_resolution :premises (@p517 @p509) :args (@t260 @t167 @t272)) % 206.96/207.36 (assume-push @p602 @t243) % 206.96/207.36 (assume-push @p603 @t241) % 206.96/207.36 (assume-push @p604 @t260) % 206.96/207.36 (assume-push @p605 @t260) % 206.96/207.36 (assume-push @p606 @t241) % 206.96/207.36 (assume-push @p607 @t243) % 206.96/207.36 (step @p525 :rule true_intro :premises (@p604)) % 206.96/207.36 (step @p429 :rule refl :args (@t85)) % 206.96/207.36 (step @p526 :rule trans :premises (@p602 @p603)) % 206.96/207.36 (step @p527 :rule cong :premises (@p526 @p429) :args (@t250)) % 206.96/207.36 (step @p528 :rule trans :premises (@p527 @p525)) % 206.96/207.36 (step @p529 :rule true_elim :premises (@p528)) % 206.96/207.36 (step-pop @p608 :rule scope :premises (@p529)) % 206.96/207.36 (step-pop @p609 :rule scope :premises (@p608)) % 206.96/207.36 (step-pop @p610 :rule scope :premises (@p609)) % 206.96/207.36 (step @p530 :rule process_scope :premises (@p610) :args (@t250)) % 206.96/207.36 (step @p534 :rule and_intro :premises (@p604 @p603 @p602)) % 206.96/207.36 (step @p535 :rule modus_ponens :premises (@p534 @p530)) % 206.96/207.36 (step-pop @p611 :rule scope :premises (@p535)) % 206.96/207.36 (step-pop @p612 :rule scope :premises (@p611)) % 206.96/207.36 (step-pop @p613 :rule scope :premises (@p612)) % 206.96/207.36 (step @p536 :rule process_scope :premises (@p613) :args (@t250)) % 206.96/207.36 (step @p540 :rule implies_elim :premises (@p536)) % 206.96/207.36 (step @p541 :rule cnf_and_neg :args (@t273)) % 206.96/207.36 (step @p542 :rule resolution :premises (@p541 @p540) :args (true @t273)) % 206.96/207.36 (step @p543 :rule reordering :premises (@p542) :args ((or @t250 (not @t243) @t268 (not @t260)))) % 206.96/207.36 (step @p544 :rule chain_m_resolution :premises (@p543 @p489 @p486 @p518) :args (@t250 @t146 (@list @t243 @t241 @t260))) % 206.96/207.36 (step @p545 :rule cnf_equiv_neg2 :args (@t252)) % 206.96/207.36 (step @p546 :rule chain_m_resolution :premises (@p545 @p409 @p479) :args (@t256 @t249 (@list @t252 @t245))) % 206.96/207.36 (step @p547 :rule cnf_and_neg :args (@t251)) % 206.96/207.36 (step @p548 :rule chain_m_resolution :premises (@p547 @p546 @p544) :args (@t258 @t249 (@list @t251 @t250))) % 206.96/207.36 (step @p549 :rule cnf_equiv_pos2 :args (@t144)) % 206.96/207.36 (step @p550 :rule reordering :premises (@p549) :args ((or @t143 @t259 @t257))) % 206.96/207.36 (step @p551 false :rule chain_m_resolution :premises (@p550 @p548 @p515 @p160) :args (false (@list true false false) (@list @t143 @t141 @t144))) % 206.96/207.36 ) % 206.96/207.36 % SZS output end Proof % 206.96/207.36 % cvc5 exiting %------------------------------------------------------------------------------